QUESTION IMAGE
Question
which sale gives the greatest percent discount? take 20% off the original price. on sale at 75% of the original price. original price reduced by 30%. it depends on the original price.
Step1: Analyze each sale's discount percentage
- For "Take 20% off the original price", the discount percentage is 20%.
- For "On sale at 75% of the original price", the discount percentage is \(100\% - 75\% = 25\%\) (since if the sale price is 75% of original, the discount is the remaining percentage).
- For "Original price reduced by 30%", the discount percentage is 30%.
- "It depends on the original price" is incorrect because discount percentage is a relative measure to the original price, and we can calculate the percentage discount for each case as shown.
Step2: Compare the discount percentages
Now we compare 20%, 25%, and 30%. We can see that 30% is the largest among them. So the sale with "Original price reduced by 30%" has the greatest percent discount.
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The option with "Original price reduced by 30%".